<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
<html>
<head>
<title>QT3 - Rules</title>
<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
</head>

<body bgcolor="#CCCCFF">
<h1 align="center">Quantum Tic-Tac-Toe</h1>
<div> 
  <table width="100%" border="0" cellspacing="0" cellpadding="0">
    <tr> 
      <td><a href="QT3SiteMap.htm">Site Map</a></td>
      <td align="right"> Path: <a href="http://www.novatiainc.com/">Novatia</a>
	  <strong>.</strong>
	  <a href="http://www.novatialabs.com/">Novatia Labs</a> 
	  <strong>.</strong>
	  <a href="http://www.paradigmpuzzles.com/">Paradigm Puzzles</a>
	  <strong>.</strong>
	  <a href="http://www.ParadigmPuzzles.com/index.htm">QT3</a>
	  <strong>.</strong>
	  <strong>Rules</strong> </td>
    </tr>
  </table>
  <hr>
</div>
<div>
  <h2 align="center">The Rules</h2>
  <table width="700" border="0" align="center" cellpadding="4" cellspacing="4">
    <tr>
      <td colspan="2">The rules for Quantum Tic-Tac-Toe are the same as for Classical 
        Tic-Tac-Toe, with these additions:</td>
	</tr>
    <tr valign="top"> 
      <td><strong>1.</strong></td>
      <td><div align="justify">Players take turns making <em>quantum</em> moves 
          with X going first. Quantum moves consist of a pair of "spooky" marks, 
          either X's or O's subscripted with the number of the move. In a quantum 
          move, two different squares are marked at once - a quantum move looks 
          like a classical move that is half in one square and half in another.</div></td>
  </tr>
    <tr valign="top"> 
      <td><strong>2.</strong></td>
      <td><p align="justify">Quantum moves may <em>entangle</em> by sharing squares. 
          An entanglement arises when two or more quantum moves share a square.</p>
        </td>
  </tr>
    <tr valign="top"> 
      <td><strong>3.</strong></td>
      <td><p align="justify">On a <em>cyclic entanglement</em>, the other player 
          chooses the collapse to classical moves, indicates the kept halves, 
          one per square, and eliminates the others. A cyclic entanglement occurs 
          whenever there is a path from one square back to itself. In a collapse 
          the spooky marks are replaced with classical marks.</p>
        </td>
  </tr>
    <tr valign="top"> 
      <td><strong>4.</strong></td>
      <td><div align="justify">First player to get 3 in a row of classical moves 
          wins. If there are multiple 3-rows, the <em>earliest in time</em> gets 
          a full point, the later a half point. An earlier in time 3-row has the 
          lower largest subscript.</div></td>
  </tr>
</table>
</div>
<div align=center> 
  <hr>
  <a HREF="QT3UpdateLog.htm">Site Update Log</a> <br>
  This page last updated: 9/5/2003 
  <ADDRESS>
  Webmaster: <a HREF="mailto:support@NovatiaInc.com">support@NovatiaInc.com</a> 
  </ADDRESS>
  All content copyright &copy; 2003, 2004 Novatia, Inc.
</div>
</body>
</html>